{
  "id": "1707.01356",
  "version": "v1",
  "published": "2017-07-05T12:27:35.000Z",
  "updated": "2017-07-05T12:27:35.000Z",
  "title": "On the classification of $\\mathbb{Z}_4$-codes",
  "authors": [
    "Makoto Araya",
    "Masaaki Harada",
    "Hiroki Ito",
    "Ken Saito"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this note, we study the classification of $\\mathbb{Z}_4$-codes. For some special cases $(k_1,k_2)$, by hand, we give a classification of $\\mathbb{Z}_4$-codes of length $n$ and type $4^{k_1}2^{k_2}$ satisfying a certain condition. Our exhaustive computer search completes the classification of $\\mathbb{Z}_4$-codes of lengths up to $7$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-05T12:27:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classification",
      "exhaustive computer search completes",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}